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Cumulant Expansion for a System with Pre- and Post-Selection and a Weak Value of a Gaussian System

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Abstract

The generalized cumulant expansion is a suitable method for investigating a quantum system with pre- and post-selection. When pre- and post-selected states of a system to be measured and an initial state of a measurement device are Gaussian with respect to relevant observables, weak values can be obtained from measurement outcomes without any other restrictions such as weakness of a system-device coupling and large uncertainty of a pointer observable in the initial state since all the cumulants higher than the second order vanish. A Gaussian weak value is investigated for a single mode optical system prepared in a coherent-squeezed state, where the post-selection is done by a homodyne detection.

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Authors and Affiliations

  1. Graduate School of Humanities and Sciences, Ochanomizu University, 2-1-1 Ohtsuka, Bunkyo-ku, Tokyo, 112-8610, Japan

    Masashi Ban

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  1. Masashi Ban
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Correspondence to Masashi Ban.

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Ban, M. Cumulant Expansion for a System with Pre- and Post-Selection and a Weak Value of a Gaussian System. Int J Theor Phys 54, 1342–1351 (2015). https://doi.org/10.1007/s10773-014-2332-1

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  • DOI: https://doi.org/10.1007/s10773-014-2332-1

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